US8765034B2 - Pattern formation method, pattern formation apparatus, and recording medium recorded with alignment program - Google Patents
Pattern formation method, pattern formation apparatus, and recording medium recorded with alignment program Download PDFInfo
- Publication number
- US8765034B2 US8765034B2 US13/767,234 US201313767234A US8765034B2 US 8765034 B2 US8765034 B2 US 8765034B2 US 201313767234 A US201313767234 A US 201313767234A US 8765034 B2 US8765034 B2 US 8765034B2
- Authority
- US
- United States
- Prior art keywords
- alignment
- master
- substrate
- corners
- shot region
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Images
Classifications
-
- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03F—PHOTOMECHANICAL PRODUCTION OF TEXTURED OR PATTERNED SURFACES, e.g. FOR PRINTING, FOR PROCESSING OF SEMICONDUCTOR DEVICES; MATERIALS THEREFOR; ORIGINALS THEREFOR; APPARATUS SPECIALLY ADAPTED THEREFOR
- G03F7/00—Photomechanical, e.g. photolithographic, production of textured or patterned surfaces, e.g. printing surfaces; Materials therefor, e.g. comprising photoresists; Apparatus specially adapted therefor
- G03F7/70—Microphotolithographic exposure; Apparatus therefor
- G03F7/70691—Handling of masks or workpieces
- G03F7/70775—Position control, e.g. interferometers or encoders for determining the stage position
Definitions
- Embodiments described herein relate generally to a pattern formation method, a pattern formation apparatus and a recording medium recorded with alignment program.
- the imprint method uses a master (mold) provided with the concave-convex shape of a pattern to be transferred.
- a photocurable resin is applied onto a substrate to which the pattern is to be transferred.
- the concave-convex shape of the is brought into contact with this resin.
- the resin is cured.
- the master is removed from the resin.
- the concave-convex shape of the master is transferred to the resin.
- FIG. 1 is a schematic view illustrating the configuration of a pattern formation apparatus according to a first embodiment
- FIGS. 2A and 2B are schematic views illustrating master alignment marks
- FIG. 3 is a flow chart illustrating the pattern formation method
- FIG. 4 is a flow chart illustrating a specific example of the pattern formation method
- FIG. 5 is a flow chart illustrating the flow of selecting a correction formula
- FIG. 6 illustrates a hardware configuration of the computer.
- a pattern formation method includes placing a master on a substrate, the master including a concave-convex pattern formed in a rectangular shot region.
- the method includes performing alignment between the master and the substrate.
- the method includes curing a photosensitive resin applied onto the substrate, with the concave-convex pattern of the master brought into contact with the photosensitive resin.
- the method includes removing the master from the photosensitive resin.
- the performing alignment includes measuring amount of misalignment of first alignment marks provided at least three of four corners of the shot region with respect to a fiducial on the substrate, and performing alignment of the four corners of the shot region.
- the performing alignment includes after the alignment of the four corners of the shot region, measuring misalignment of a second alignment mark provided at other than the four corners of the shot region with respect to a fiducial on the substrate.
- the performing alignment includes calculating a target value of amount of movement of the four corners of the shot region so as to minimize the amount of misalignment of the first alignment marks and amount of misalignment of the second alignment mark.
- the performing alignment includes performing alignment between the master and the substrate so that the amount of movement of the four corners of the shot region is made close to the target value.
- FIG. 1 is a schematic view illustrating the configuration of a pattern formation apparatus according to a first embodiment.
- the pattern formation apparatus 110 includes a master stage 2 , a sample stage 5 , a correction mechanism 9 , a control calculation unit 21 , and a light source 12 .
- the pattern formation apparatus 110 further includes an alignment sensor 7 and an alignment stage 8 .
- the pattern formation apparatus 110 according to the embodiment is an imprint apparatus for transferring the concave-convex pattern of a master 1 to a resin on a substrate S.
- a chuck 4 On the sample stage 5 , a chuck 4 is provided.
- the chuck 4 holds the substrate S.
- the substrate S is a target in which the pattern is to be formed.
- the chuck 4 holds the substrate S by vacuum suction.
- the sample stage 5 is provided on a stage platen 13 .
- the substrate S includes a substrate such as a semiconductor substrate, a foundation pattern formed on this substrate, and a target layer (to-be-processed layer) formed on this foundation pattern. At the time of pattern transfer, the substrate S further includes a photosensitive resin formed on the target layer.
- the target layer can be an insulating film, a metal film (conductive film), or a semiconductor film.
- the sample stage 5 is movably provided on the stage platen 13 .
- the sample stage 5 is provided so as to be movable along two axes along the upper surface 13 a of the stage platen 13 .
- the two axes along the upper surface 13 a of the stage platen 13 are referred to as X axis and Y axis.
- the sample stage 5 is provided so as to be movable also along the Z axis orthogonal to the X axis and the Y axis.
- the sample stage 5 is provided so as to be rotatable about each of the X axis, the Y axis, and the Z axis.
- the sample stage 5 is provided with a fiducial mark support 6 .
- a fiducial mark (not shown) serving as a fiducial position of the apparatus is placed.
- the fiducial mark is made of e.g. a diffraction grating.
- the fiducial mark is used for calibration of the alignment sensor 7 and positioning (posture control/adjustment) of the master 1 .
- the fiducial mark is the origin point on the sample stage 5 .
- the X and Y coordinates of the substrate S mounted on the sample stage 5 are coordinates with the fiducial mark support 6 serving as the origin point.
- the master stage 2 fixes the master (mold) 1 .
- the master stage 2 holds the peripheral portion of the master 1 by vacuum suction.
- the master 1 is formed from a material transmissive to ultraviolet radiation (UV light), such as quartz and fluorite.
- a transfer pattern made of concave-convex is formed in the master 1 .
- the transfer pattern includes a pattern corresponding to a device pattern, and a pattern corresponding to an alignment mark used for alignment between the master 1 and the substrate S.
- the master stage 2 is operated so as to position the master 1 at the apparatus fiducial.
- the master stage 2 is attached to a base portion 11 .
- the correction mechanism 9 includes an adjustment mechanism for fine-tuning the position (posture) of the master 1 .
- the correction mechanism 9 corrects the relative position of the master 1 and the substrate S. For instance, the correction mechanism 9 fine-tunes the position of the master 1 under the instruction from the control calculation unit 21 .
- the pressurizing unit 10 rectifies the strain of the master 1 by applying a stress to the side surface of the master 1 .
- the pressurizing unit 10 pressurizes the master 1 from the four side surfaces toward the center of the master 1 .
- the size of the transferred pattern is subjected to correction (magnification correction).
- the pressurizing unit 10 pressurizes the master 1 with a prescribed stress under the instruction from the control calculation unit 21 .
- the base portion 11 is attached to the alignment stage 8 .
- the alignment stage 8 moves the base portion 11 in the X-axis direction and the Y-axis direction for alignment between the master 1 and the substrate S.
- the alignment stage 8 also has the function of rotating the base portion 11 along the XY plane.
- the direction of rotation along the XY plane is referred to as ⁇ direction.
- the alignment sensor 7 detects an alignment mark provided on the master 1 and an alignment mark provided on the substrate S.
- the master 1 is provided with a first alignment mark (master alignment mark), not shown.
- a second alignment mark (foundation alignment mark), not shown, is formed.
- the foundation alignment mark and the master alignment mark are used to measure the relative misalignment between the master 1 and the substrate S.
- the master alignment mark and the foundation alignment mark are made of e.g. a diffraction grating.
- the alignment sensor 7 detects the misalignment of the master 1 with respect to the fiducial mark on the fiducial mark support 6 , and the misalignment of the substrate S with respect to the master 1 .
- the position (e.g., X and Y coordinates) of the alignment mark detected by the alignment sensor 7 is sent to the control calculation unit 21 .
- FIG. 1 only two alignment sensors 7 , left and right, are shown. However, preferably, four or more alignment sensors 7 are provided.
- the control calculation unit 21 calculates the misalignment of the master 1 with respect to the aforementioned fiducial mark.
- the misalignment of the master 1 with respect to the aforementioned fiducial mark is detected in the state in which the sample stage 5 is moved by a movement mechanism, not shown, to the position where the aforementioned fiducial mark and the master 1 can be simultaneously detected.
- the amount of misalignment is obtained by irradiating the aforementioned fiducial mark and the master alignment mark with light by a light source, not shown, and measuring the misalignment based on the barycenter position of the light diffracted and reflected back to the alignment sensor 7 .
- the misalignment of the substrate S with respect to the master 1 (the relative misalignment between the master 1 and the substrate S) is detected in the state in which the sample stage 5 is moved by the movement mechanism, not shown, to the position where the master alignment mark and the foundation alignment mark opposed to each other can be simultaneously detected.
- the amount of misalignment is obtained by irradiating the master alignment mark and the foundation alignment mark with light by the light source, not shown, and measuring the relative misalignment based on the barycenter position of the light diffracted and reflected back to the alignment sensor 7 .
- the control calculation unit 21 generates a signal for controlling the sample stage 5 in the X-axis direction, the Y-axis direction, the Z-axis direction, and the ⁇ direction.
- the control calculation unit 21 generates a signal for controlling the relative position of the master 1 and the sample stage 5 . For instance, the position of the sample stage 5 on the stage platen 13 is controlled by the signal sent from the control calculation unit 21 .
- the control calculation unit 21 performs calculation for alignment between the master 1 and the substrate S based on the position information of the alignment mark sent from the alignment sensor 7 .
- the alignment stage 8 performs alignment adjustment between the master 1 and the substrate S based on the signal sent from the control calculation unit 21 .
- the control calculation unit 21 may generate a signal for controlling the correction mechanism 9 .
- the control calculation unit 21 may provide the pressurizing unit 10 with a signal for generating this stress by a prescribed calculation.
- the control calculation unit 21 may control the light source 12 .
- a photosensitive resin such as ultraviolet curable resin is applied onto the substrate S. Then, with the master 1 brought into contact with the resin, the resin is irradiated with light from the light source 12 .
- the control calculation unit 21 may control the irradiation timing and irradiation amount of this light.
- the light source 12 emits ultraviolet light.
- the light source 12 is placed directly above the master 1 .
- the position of the light source 12 is not limited to directly above the master 1 .
- an optical member such as a mirror can be used to establish an optical path such that the light emitted from the light source 12 is applied toward the master 1 from directly above the master 1 .
- the pattern formation apparatus 110 includes an application device 14 .
- the application device 14 applies resin onto the substrate S.
- the application device 14 includes a nozzle and drops resin from this nozzle onto the substrate S.
- the pattern formation apparatus 110 forms a pattern in the resin on the substrate S by the imprint method.
- This pattern is a pattern in which the concave-convex shape of the transfer pattern of the master 1 is transferred. That is, with the resin applied onto the substrate S, the distance in the Z-axis direction between the master 1 and the substrate S is reduced to bring the transfer pattern of the master 1 into contact with the resin. In this state, the resin is cured by irradiation with light from the light source 12 . After the resin is cured, the master 1 is removed from the resin. Thus, a pattern in which the concave-convex shape of the transfer pattern of the master 1 is transferred to the resin is formed on the substrate S.
- the pattern (resist pattern) of the resin in which the concave-convex shape of the transfer pattern of the master 1 is transferred may be used as a mask to etch a target layer (to-be-processed layer).
- the shape of the transfer pattern may be transferred to the target layer.
- the relative position of the master 1 and the substrate S is corrected by the correction mechanism 9 .
- the master 1 located above the substrate S is pressed to the substrate S by the pressurizing unit 10 .
- pattern transfer is performed with high accuracy.
- the pattern formation apparatus 110 In the pattern formation apparatus 110 according to this embodiment, alignment between the master 1 and the substrate S described below is performed by the control calculation unit 21 . Thus, alignment with high accuracy is performed between the master 1 and the substrate S. In the pattern formation apparatus 110 , misalignment of the pattern transferred onto the substrate S is suppressed. Thus, a pattern with high dimensional accuracy is obtained.
- FIGS. 2A and 2B are schematic views illustrating master alignment marks.
- FIG. 2A shows alignment marks AM 1 (first alignment marks) provided at the four corners of a shot.
- FIG. 2B shows alignment marks AM 2 (second alignment marks) other than the alignment marks AM 1 .
- the master 1 includes a shot region R 1 provided in a central portion of a base material 1 a .
- a transfer pattern is provided in the shot region R 1 .
- the shot region R 1 is a region for pattern transfer by a single imprint process.
- the outline of the shot region R 1 is rectangular.
- the alignment marks AM 1 are provided at the four corners of the shot region R 1 .
- a plurality of chip regions R 2 are provided in the shot region R 1 .
- transfer patterns for a plurality of chips are formed in the chip regions R 2 .
- a total of six chip regions R 2 are provided in three rows and two columns.
- the outline of the chip region R 2 is rectangular.
- the alignment mark AM 2 is provided at e.g. a corner of the chip region R 2 .
- the pattern formation method performs alignment between the master 1 and the substrate S using such alignment marks AM 1 and AM 2 .
- foundation alignment marks corresponding to the alignment marks AM 1 and AM 2 are provided.
- FIG. 3 is a flow chart illustrating the pattern formation method.
- the pattern formation method includes loading a substrate (step S 101 ), first alignment (step S 102 ), alignment at the four corners (step S 103 ), detecting the amount of displacement (step S 104 ), determining a target value (step S 105 ), second alignment (step S 106 ), and curing the resin and releasing the master (step S 107 ).
- an alignment method includes first alignment (step S 102 ), alignment at the four corners (step S 103 ), detecting the amount of displacement (step S 104 ), determining a target value (step S 105 ), and second alignment (step S 106 ).
- a substrate S is loaded.
- the substrate S is transported from outside the pattern formation apparatus 110 onto the sample stage 5 .
- the substrate S is fixed on the chuck 4 .
- step S 102 of FIG. 3 first alignment is performed.
- the first alignment performs rough alignment between the master 1 and the substrate S.
- step S 103 of FIG. 3 alignment at the four corners of the shot region R 1 is performed. More specifically, misalignment between the alignment marks AM 1 provided at the four corners of the shot region R 1 shown in FIGS. 2A and 2B and the foundation alignment marks corresponding to the alignment marks AM 1 is detected by the alignment sensors 7 . The detected result is sent to the control calculation unit 21 . The control calculation unit 21 stores the detection result sent from the alignment sensors 7 in a memory unit 22 .
- step S 104 of FIG. 3 misalignment between the alignment marks AM 2 provided at corners of the chip region R 2 and the foundation alignment marks corresponding to the alignment marks AM 2 is detected by the alignment sensors 7 .
- the control calculation unit 21 stores the detection result sent from the alignment sensors 7 in the memory unit 22 .
- a target value is determined. More specifically, based on the detection result of the alignment sensors 7 stored in the memory unit 22 , a target value of the amount of movement (target movement amount) of the position of the alignment marks AM 1 of the four corners of the shot region R 1 with respect to the substrate S is determined.
- the target value is calculated by the control calculation unit 21 .
- the control calculation unit 21 calculates the target value using both the amount of misalignment between the alignment marks AM 1 and the foundation alignment marks, and the amount of misalignment between the alignment marks AM 2 and the foundation alignment marks.
- the control calculation unit 21 calculates the target value using a prescribed calculation formula so as to minimize all these amounts of misalignment.
- step S 106 of FIG. 3 second alignment is performed.
- the second alignment performs high accuracy alignment between the master 1 and the substrate S.
- the second alignment fine-tunes the alignment stage 8 by the correction mechanism 9 so that the alignment marks AM 1 are matched with the target value calculated by the control calculation unit 21 .
- the second alignment is performed in parallel with the processing of applying resin onto the substrate S.
- the second alignment is performed after the master 1 is pressurized by the pressurizing unit 10 to perform magnification correction for correcting the strain of the master 1 .
- step S 107 of FIG. 3 curing of the resin and removal of the master are performed. More specifically, after the second alignment is performed, the resin is irradiated with e.g. ultraviolet light. Thus, the resin is cured. Then, the master 1 is removed from the resin. Thus, the concave-convex shape of the transfer pattern of the master 1 is transferred to the resin.
- the resin is irradiated with e.g. ultraviolet light.
- the resin is cured.
- the master 1 is removed from the resin.
- the concave-convex shape of the transfer pattern of the master 1 is transferred to the resin.
- correction fails to be sufficient inside the shot region R 1 .
- a stress is applied from the side surfaces for the purpose of magnification correction.
- FIG. 4 is a flow chart illustrating a specific example of the pattern formation method.
- alignment between the master 1 and the substrate S is performed before applying resin onto the substrate S.
- step S 201 alignment is performed using the alignment marks AM 1 provided at the four corners of the shot region R 1 .
- This specific example uses four alignment marks AM 1 provided at the four corners of the shot region R 1 .
- the position of the alignment mark AM 1 is detected by the alignment sensor 7 .
- the number of alignment sensors 7 is denoted by m
- the number of foundation alignment marks located on the substrate S is denoted by n. Then, in the case of m ⁇ n, the alignment sensors 7 are moved to the positions corresponding to the respective foundation alignment marks without moving the master 1 and the substrate S. Thus, misalignment between the foundation alignment marks and the master alignment marks is detected.
- step S 202 misalignment is detected using the alignment marks AM 2 of other than the four corners of the shot region R 1 .
- step S 203 parameters are calculated based on a correction formula.
- the detection result of the alignment marks AM 1 of the four corners of the shot region R 1 , and the detection result of the alignment marks AM 2 of other than the four corners of the shot region R 1 are substituted into one of the following correction formulas (1)-(4).
- dx is the amount of displacement in the X-axis direction in the amount of misalignment.
- dy is the amount of displacement in the Y-axis direction in the amount of misalignment.
- k 1 -k 20 are parameters.
- ⁇ x is the residual error in the X-axis direction.
- ⁇ y is the residual error in the Y-axis direction.
- the correction formula (1) is a first order correction formula including six parameters k 1 -k 6 .
- the correction formula (2) is a second order correction formula including twelve parameters k 1 -k 12 .
- the correction formula (3) is a third order correction formula including twenty parameters k 1 -k 20 .
- the correction formula (4) is a first order correction formula including eight parameters k 1 -k 6 , k 9 , and k 10 .
- the correction formulas (1)-(4) for the correction formulas (1)-(3), it is determined which of the correction formulas to use based on the number of detected alignment marks AM 1 and AM 2 .
- the correction formula (4) is used in the case where the function of the pattern formation apparatus is limited.
- the correction formula (4) is used in the case where the alignment correction is limited to at least one of the correction functions of magnification correction, rotation correction, orthogonality correction, and trapezoidal correction.
- at least four alignment marks are detected.
- FIG. 5 is a flow chart illustrating the flow of selecting a correction formula.
- the number of measurement results refers to the number of measurement results for each pair of one foundation alignment mark and one master alignment mark corresponding thereto.
- the number of measurement results for the case of measuring both the amount of displacement in the X-axis direction and the amount of displacement in the Y-axis direction at one pair of alignment marks is denoted by Num1.
- the number of measurement results for the case of separately measuring the amount of displacement in the X-axis direction and the amount of displacement in the Y-axis direction at one pair of alignment marks is denoted by Num2.
- step S 601 If the determination of step S 601 indicates that the number of measurement results Num1 is 3 or more and 5 or less, or Num2 is 6 or more and 10 or less, then the flow proceeds to step S 302 to select the first order correction formula (1).
- step S 601 If the determination of step S 601 indicates that the number of measurement results Num1 is 6 or more and 9 or less, or Num2 is 12 or more and 18 or less, then the flow proceeds to step S 303 to select the second order correction formula (2).
- step S 601 If the determination of step S 601 indicates that the number of measurement results Num1 is 10 or more, or Num2 is 20 or more, then the flow proceeds to step S 304 to select the third order correction formula (3).
- one of the correction formulas (1)-(3) and the correction formula (4) is selected. Then, the selected correction formula is used to calculate the parameters k. More specifically, by substitution into the correction formula for all the measurement points, the values of the parameters k minimizing the residual errors ⁇ x and ⁇ y are calculated.
- the correction formula (2) is selected.
- the amount of displacement in the X-axis direction, dx, and the amount of displacement in the Y-axis direction, dy are substituted into the correction formula (2).
- the parameters k 1 , k 3 , k 5 , k 7 , k 9 , and k 11 minimizing ⁇ x are determined.
- the parameters k 2 , k 4 , k 6 , k 8 , k 10 , and k 12 minimizing ⁇ y are determined.
- a target value at the four corners of the shot region R 1 is determined. More specifically, to the correction formula selected from the correction formulas (1)-(4), the determined parameters k are inputted, and the x and y coordinates of the alignment marks AM 1 of the four corners of the shot region R 1 are inputted. Then, the obtained values of dx and dy (denoted here by dx′ and dy′) are multiplied by ⁇ 1. Thus, the target values ( ⁇ dx′ and ⁇ dy′) for moving the position of the alignment marks AM 1 of the four corners are determined.
- step S 205 position correction is performed.
- the position correction is performed by fine-tuning the position of the master 1 by the correction mechanism 9 .
- fine tuning is performed so that the alignment marks AM 1 of the four corners of the shot region R 1 are each made close to the target value.
- This position correction is preferably performed during the time from applying resin onto the substrate S until curing the resin. More preferably, the position correction is performed while applying resin onto the substrate S. This reduces the pattern formation time. In conjunction with this position correction, magnification correction of the master 1 is performed.
- step S 206 the resin is irradiated with e.g. ultraviolet light. Thus, the resin is cured. Then, the master 1 is removed from the resin. On the substrate 5 , a resin pattern to which the concave-convex shape of the transfer pattern of the master 1 is transferred is formed.
- the position of the alignment marks AM 1 of the four corners of the shot region R 1 is first measured, and then the position of the alignment marks AM 2 of other than the four corners is measured.
- the position of the alignment marks AM 1 of the four corners may be measured after the position of the alignment marks AM 2 of other than the four corners is measured.
- step S 204 Before applying resin onto the substrate S, measurement of misalignment at the alignment marks AM 1 of the four corners of the shot region R 1 and the alignment marks AM 2 of other than the four corners only needs to be performed in several shots predetermined in the specification for pattern formation.
- the position correction shown in step S 204 is completed before resin is applied onto the substrate S.
- the parameters k or residual errors a determined for only the alignment marks AM 1 of the four corners may be significantly different from the parameters k or residual errors a determined by substitution of all the measurement points. In this case, it is preferable to increase the measurement shots. In the case where the number of measurement shots is increased, measurement may be completed before applying resin onto the substrate S. Alternatively, measurements before and after the application of resin onto the substrate S may be switched.
- the alignment marks AM 2 of other than the four corners of the shot region R 1 may be provided near the center of each side of the shot region R 1 . Furthermore, the alignment mark AM 2 may be provided on the movable shaft of the pressurizing unit 10 for pressing the master 1 for magnification correction of the master 1 . In this case, the master stage 2 holds the master 1 so that the alignment mark AM 2 is located on the movable shaft of the pressurizing unit 10 .
- the alignment mark AM 2 is preferably provided at locations prone to misalignment and near the position for forming a highly accurate pattern, other than the four corners of the shot region R 1 . This realizes alignment considering not only the four corners of the shot region R 1 but also the portion where correction of misalignment is desired.
- the method for alignment between the master 1 and the substrate S can be realized as a program (alignment program) executed by a computer.
- FIG. 6 illustrates a hardware configuration of the computer.
- the computer 200 includes a central processing unit 201 , an input unit 202 , an output unit 203 , and a memory unit 204 .
- the input unit 202 includes the function of reading information recorded on a recording medium M.
- the alignment program is executed in the central processing unit 201 .
- the alignment program causes the computer 200 to execute first alignment (step S 102 ), alignment at the four corners (step S 103 ), detecting the amount of displacement (step S 104 ), determining a target value (step S 105 ), and second alignment (step S 106 ) shown in FIG. 3 .
- the alignment program may be recorded on a computer-readable recording medium.
- first alignment step S 102
- alignment at the four corners step S 103
- detecting the amount of displacement step S 104
- determining a target value step S 105
- second alignment step S 106
- the recording medium M may be a memory device such as a server connected to a network.
- the alignment program may be distributed through a network.
- the pattern formation method and pattern formation apparatus can improve alignment between the master and the substrate.
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Exposure Of Semiconductors, Excluding Electron Or Ion Beam Exposure (AREA)
Abstract
Description
[Equation 1]
dx=k 1 +k 3 x−k 5 y+α x
dy=k 2 +k 4 y+k 6 x+α y (1)
[Equation 2]
dx=k 1 +k 3 x−k 5 y+k 7 x 2 +k 9 xy+k 11 y 2αx
dy=k 2 +k 4 y+k 6 x+k 8 y 2 +k 10 xy+k 12 x 2+αy (2)
[Equation 3]
dx=k 1 +k 3 x−k 5 y+k 7 x 2 +k 9 xy+k 11 y 2 +k 13 x 3 +k 15 x 2 y+k 17 xy 2 +k 19 y 3+αx
dy=k 2 +k 4 y+k 6 x+k 8 y 2 +k 10 xy+k 12 x 2 +k 14 y 3 +k 16 xy 2 +k 18 x 2 y+k 20 x 3+αy (3)
[Equation 4]
dx=k 1 +k 3 x−k 5 y+k 9 xy+α x
dy=k 2 +k 4 y+k 6 x+k 10 xy+α y (4)
Claims (14)
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2012-197807 | 2012-09-07 | ||
JP2012197807A JP5723337B2 (en) | 2012-09-07 | 2012-09-07 | Pattern forming method and pattern forming apparatus |
Publications (2)
Publication Number | Publication Date |
---|---|
US20140071413A1 US20140071413A1 (en) | 2014-03-13 |
US8765034B2 true US8765034B2 (en) | 2014-07-01 |
Family
ID=50232979
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US13/767,234 Active US8765034B2 (en) | 2012-09-07 | 2013-02-14 | Pattern formation method, pattern formation apparatus, and recording medium recorded with alignment program |
Country Status (2)
Country | Link |
---|---|
US (1) | US8765034B2 (en) |
JP (1) | JP5723337B2 (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20130015597A1 (en) * | 2011-07-15 | 2013-01-17 | Canon Kabushiki Kaisha | Imprint apparatus and article manufacturing method |
US12085850B2 (en) | 2019-05-14 | 2024-09-10 | Canon Kabushiki Kaisha | Imprint apparatus, imprint method, and article manufacturing method |
Families Citing this family (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP5498448B2 (en) * | 2011-07-21 | 2014-05-21 | 株式会社東芝 | Imprint method and imprint system |
JP6401501B2 (en) | 2014-06-02 | 2018-10-10 | キヤノン株式会社 | Imprint apparatus and article manufacturing method |
TW201616553A (en) * | 2014-07-17 | 2016-05-01 | Soken Kagaku Kk | Step-and-repeat-type imprinting device and method |
JP6506521B2 (en) * | 2014-09-17 | 2019-04-24 | キヤノン株式会社 | Imprint method, imprint apparatus, and method of manufacturing article |
JP6497954B2 (en) * | 2015-02-04 | 2019-04-10 | キヤノン株式会社 | Imprint method, imprint apparatus, and article manufacturing method |
US9633883B2 (en) | 2015-03-20 | 2017-04-25 | Rohinni, LLC | Apparatus for transfer of semiconductor devices |
US10141215B2 (en) | 2016-11-03 | 2018-11-27 | Rohinni, LLC | Compliant needle for direct transfer of semiconductor devices |
US10471545B2 (en) | 2016-11-23 | 2019-11-12 | Rohinni, LLC | Top-side laser for direct transfer of semiconductor devices |
US10504767B2 (en) | 2016-11-23 | 2019-12-10 | Rohinni, LLC | Direct transfer apparatus for a pattern array of semiconductor device die |
US10062588B2 (en) | 2017-01-18 | 2018-08-28 | Rohinni, LLC | Flexible support substrate for transfer of semiconductor devices |
US10410905B1 (en) | 2018-05-12 | 2019-09-10 | Rohinni, LLC | Method and apparatus for direct transfer of multiple semiconductor devices |
US11094571B2 (en) | 2018-09-28 | 2021-08-17 | Rohinni, LLC | Apparatus to increase transferspeed of semiconductor devices with micro-adjustment |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPH09190972A (en) | 1996-12-09 | 1997-07-22 | Nikon Corp | Formation method for circuit pattern |
US7281921B2 (en) | 2002-08-01 | 2007-10-16 | Molecular Imprints, Inc. | Scatterometry alignment for imprint lithography |
US20100104984A1 (en) | 2008-10-27 | 2010-04-29 | Eishi Shiobara | Method of manufacturing semiconductor device |
JP2010186918A (en) | 2009-02-13 | 2010-08-26 | Nikon Corp | Alignment method, exposure method and exposure device, device manufacturing method, and exposure system |
US20110278768A1 (en) | 2010-05-14 | 2011-11-17 | Canon Kabushiki Kaisha | Imprint apparatus and method of manufacturing article |
Family Cites Families (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2000260690A (en) * | 1999-03-08 | 2000-09-22 | Canon Inc | X-ray aligner |
KR20090003153A (en) * | 2006-04-03 | 2009-01-09 | 몰레큘러 임프린츠 인코퍼레이티드 | Method of concurrently patterning a substrate having a plurality of fields and alignment marks |
WO2007117519A2 (en) * | 2006-04-03 | 2007-10-18 | Molecular Imprints, Inc. | Method for determining deformation parameters for a patterned device in a lithography system |
JP4909913B2 (en) * | 2008-01-10 | 2012-04-04 | 株式会社東芝 | Imprint mask manufacturing method and semiconductor device manufacturing method |
JP2012049370A (en) * | 2010-08-27 | 2012-03-08 | Toshiba Corp | Imprint device |
JP5930622B2 (en) * | 2010-10-08 | 2016-06-08 | キヤノン株式会社 | Imprint apparatus and article manufacturing method |
JP2012084732A (en) * | 2010-10-13 | 2012-04-26 | Canon Inc | Imprint method and device |
-
2012
- 2012-09-07 JP JP2012197807A patent/JP5723337B2/en active Active
-
2013
- 2013-02-14 US US13/767,234 patent/US8765034B2/en active Active
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPH09190972A (en) | 1996-12-09 | 1997-07-22 | Nikon Corp | Formation method for circuit pattern |
US7281921B2 (en) | 2002-08-01 | 2007-10-16 | Molecular Imprints, Inc. | Scatterometry alignment for imprint lithography |
US20100104984A1 (en) | 2008-10-27 | 2010-04-29 | Eishi Shiobara | Method of manufacturing semiconductor device |
JP2010186918A (en) | 2009-02-13 | 2010-08-26 | Nikon Corp | Alignment method, exposure method and exposure device, device manufacturing method, and exposure system |
US20110278768A1 (en) | 2010-05-14 | 2011-11-17 | Canon Kabushiki Kaisha | Imprint apparatus and method of manufacturing article |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20130015597A1 (en) * | 2011-07-15 | 2013-01-17 | Canon Kabushiki Kaisha | Imprint apparatus and article manufacturing method |
US9810979B2 (en) * | 2011-07-15 | 2017-11-07 | Canon Kabushiki Kaisha | Imprint apparatus and article manufacturing method |
US12085850B2 (en) | 2019-05-14 | 2024-09-10 | Canon Kabushiki Kaisha | Imprint apparatus, imprint method, and article manufacturing method |
Also Published As
Publication number | Publication date |
---|---|
US20140071413A1 (en) | 2014-03-13 |
JP5723337B2 (en) | 2015-05-27 |
JP2014053495A (en) | 2014-03-20 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
US8765034B2 (en) | Pattern formation method, pattern formation apparatus, and recording medium recorded with alignment program | |
KR102206936B1 (en) | Pattern formation method, lithography apparatus, lithography system, and article manufacturing method | |
JP6333039B2 (en) | Imprint apparatus, device manufacturing method, and imprint method | |
JP6180131B2 (en) | Imprint apparatus and article manufacturing method using the same | |
JP2020047944A (en) | Imprint device, imprint method and manufacturing method of article | |
KR102032095B1 (en) | Method of curing uncured material and method of manufacturing article | |
JP6362399B2 (en) | Imprint apparatus, imprint method, and article manufacturing method | |
JP6271875B2 (en) | Imprint apparatus, imprint method, and article manufacturing method | |
JP2009088264A (en) | Microfabrication apparatus and method of manufacturing device | |
JP6029494B2 (en) | Imprint method, imprint apparatus, and article manufacturing method using the same | |
JP6606567B2 (en) | Imprint apparatus and article manufacturing method | |
JP6069509B2 (en) | Quantitative reticle distortion measurement system | |
JP6053266B2 (en) | Imprint apparatus, article manufacturing method, and imprint method | |
JP2015017844A5 (en) | ||
JP2016127167A (en) | Imprint device, and method of manufacturing article | |
JP2011061025A (en) | Method of manufacturing device | |
KR102180702B1 (en) | Lithographic apparatus, method of manufacturing article, and measurement apparatus | |
JP6560736B2 (en) | Imprint apparatus, imprint method, and article manufacturing method | |
JP2018194738A (en) | Position measurement device, lithography device, and article production method | |
JP2015079887A (en) | Imprint device and method of manufacturing article | |
JP2020092178A (en) | Imprint apparatus, imprint method, and article manufacturing method | |
JP2016021440A (en) | Imprint device, imprint method, and method of manufacturing article | |
JP2019179926A (en) | Pattern formation method, lithographic apparatus, lithographic system, and article manufacturing method | |
US20230390993A1 (en) | Imprint device, imprint method, article manufacturing method, and storage medium | |
US11833737B2 (en) | Imprint apparatus, method of imprinting, and method of manufacturing article |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
AS | Assignment |
Owner name: KABUSHIKI KAISHA TOSHIBA, JAPAN Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:TAKAKUWA, MANABU;REEL/FRAME:029814/0485 Effective date: 20130129 |
|
STCF | Information on status: patent grant |
Free format text: PATENTED CASE |
|
FEPP | Fee payment procedure |
Free format text: PAYOR NUMBER ASSIGNED (ORIGINAL EVENT CODE: ASPN); ENTITY STATUS OF PATENT OWNER: LARGE ENTITY |
|
AS | Assignment |
Owner name: TOSHIBA MEMORY CORPORATION, JAPAN Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:KABUSHIKI KAISHA TOSHIBA;REEL/FRAME:043709/0035 Effective date: 20170706 |
|
MAFP | Maintenance fee payment |
Free format text: PAYMENT OF MAINTENANCE FEE, 4TH YEAR, LARGE ENTITY (ORIGINAL EVENT CODE: M1551) Year of fee payment: 4 |
|
AS | Assignment |
Owner name: K.K. PANGEA, JAPAN Free format text: MERGER;ASSIGNOR:TOSHIBA MEMORY CORPORATION;REEL/FRAME:055659/0471 Effective date: 20180801 Owner name: TOSHIBA MEMORY CORPORATION, JAPAN Free format text: CHANGE OF NAME AND ADDRESS;ASSIGNOR:K.K. PANGEA;REEL/FRAME:055669/0401 Effective date: 20180801 Owner name: KIOXIA CORPORATION, JAPAN Free format text: CHANGE OF NAME AND ADDRESS;ASSIGNOR:TOSHIBA MEMORY CORPORATION;REEL/FRAME:055669/0001 Effective date: 20191001 |
|
MAFP | Maintenance fee payment |
Free format text: PAYMENT OF MAINTENANCE FEE, 8TH YEAR, LARGE ENTITY (ORIGINAL EVENT CODE: M1552); ENTITY STATUS OF PATENT OWNER: LARGE ENTITY Year of fee payment: 8 |